5685786000 has 360 divisors, whose sum is σ = 21114720744. Its totient is φ = 1425715200.

The previous prime is 5685785999. The next prime is 5685786077. The reversal of 5685786000 is 6875865.

5685786000 is a `hidden beast` number, since 568 + 5 + 7 + 86 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 745945344 + 4939840656 = 27312^2 + 70284^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5201454 + ... + 5202546.

Almost surely, 2^5685786000 is an apocalyptic number.

5685786000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5685786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557360372).

5685786000 is an abundant number, since it is smaller than the sum of its proper divisors (15428934744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5685786000 is a wasteful number, since it uses less digits than its factorization.

5685786000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5685786000 is about 75404.1510793670. The cubic root of 5685786000 is about 1784.8299157668.

The spelling of 5685786000 in words is "five billion, six hundred eighty-five million, seven hundred eighty-six thousand".